Understanding Dilation and Triangle Scaling

The video tutorial explains how to perform a dilation of triangle ABC with center P and a scale factor of 2. It demonstrates the process by calculating the new positions of points B, C, and A, ensuring each point is twice as far from P. The tutorial uses the Pythagorean theorem to verify the lengths of the sides before and after dilation, confirming the scale factor's effect. The video emphasizes understanding the geometric transformation and its impact on the triangle's dimensions.

What is the center of dilation for triangle ABC?

• Point C

• Point P

• Point B

• Point A

What is the scale factor used for dilating triangle ABC?

• 2

• 0.5

• 1

• 3

How far is point B from point P after dilation?

• 9 units

• 12 units

• 6 units

• 3 units

What is the new position of point C after dilation?

• 6 units above P

• 3 units above P

• 3 units below P

• 6 units below P

How is the original length of side AB calculated?

• Using the slope formula

• Using the midpoint formula

• Using the distance formula

• Using the area formula

What is the original length of side AB?

• 4 units

• 3 units

• 5 units

• 6 units

What is the length of the dilated side AB?

• 10 units

• 5 units

• 8 units

• 12 units

How is the length of the dilated side AB verified?

• Using the slope formula

• Using the area formula

• Using the Pythagorean theorem

• Using the midpoint formula

What is the effect of a scale factor of 2 on the triangle's sides?

• Halves the length

• Quadruples the length

• Doubles the length

• Triples the length

What happens to each point of the triangle after dilation?

• Moves twice as far from P

• Moves closer to P

• Moves half as far from P

• Remains in the same position